Tests of Seiberg-like dualities in three dimensions

被引:14
作者
Kapustin, Anton [1 ]
Willett, Brian [2 ]
Yaakov, Itamar [3 ]
机构
[1] CALTECH, 1200 E Calif Blvd, Pasadena, CA 91125 USA
[2] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
[3] INFN, Sez Milano Bicocca, Dipartimento Fis, Edificio U2,Piazza Sci 3, I-20126 Milan, MI, Italy
关键词
Conformal Field Theory; Duality in Gauge Field Theories; Extended Super-symmetry; Supersymmetric Gauge Theory;
D O I
10.1007/JHEP08(2020)114
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition functions of dual theories deformed by real mass terms and FI parameters. We find that Seiberg-like duality for N = 3 Chern-Simons gauge theories proposed by Giveon and Kutasov holds on the level of partition functions and is closely related to level-rank duality in pure Chern-Simons theory. We also clarify the relationship between the Giveon-Kutasov duality and a duality in theories of fractional M2 branes and propose a generalization of the latter. Our analysis also confirms previously known results concerning decoupled free sectors in N = 4 gauge theories realized by monopole operators.
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页数:35
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